Uniform stability of sets for difference inclusions under summability criteria

Andrew Teel (1) , Dragan Nesic (2) , Antonio Loria (3) , Elena Panteley (3)

1 CCDC - Center for Control, Dynamical-Systems, and Computation [Santa Barbara]
2 Department of Electrical and Electronic Engineering [Melbourne]
3 L2S - Laboratoire des signaux et systèmes

We present equivalent characterizations of uniform global exponential stability and uniform global asymptotic stability of arbitrary closed not necessarily compact sets for nonlinear difference inclusions. Our conditions are established in the form of summability criteria that do not require the knowledge of a Lyapunov function.

Domaines: Systèmes dynamiques [math.DS]; Automatique / Robotique

Andrew Teel, Dragan Nesic, Antonio Loria, Elena Panteley. Uniform stability of sets for difference inclusions under summability criteria. CDC 2009, Dec 2009, Shanghai, China. pp.4131-4136, ⟨10.1109/CDC.2009.5399608⟩. ⟨hal-00831373⟩